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《Journal of Vibration and Shock》 2007-01

## STOCHASTIC SIMULATING FOR MULTIVARIATE ROAD ROUGHNESS WITH SPECTRAL REPRESENTATION METHOD BASED ON PROPER ORTHOGONAL DECOMPOSITION (POD)

Hu Liang,Li li,Fan Jian(School of Civil Engineering and Mechanics,Huazhong University of Science and Technology,Wuhan 430074)
Stochastic excitation acted on automobiles due to multivariate road roughness is described in detail firstly.Proper orthogonal decomposition(POD) of random multivariate processes is defined.Then,to simulate the stochastic excitation,a set of simplified formulas based on the spectral representation method and POD is given,which can reduce computation with FFT to speed up computing.Since the time-consuming Cholesky decomposition is removed,the simplified method is more efficient than the original spectral representation method.By defining the "road roughness mode" vividly,the physical meaning of POD and this method are clarified.Simulation of the displacement excitation acted on a four-wheeled car is taken as an example.The validity of this method is verified.
【Fund】： 交通部西部交通建设科技术项目(20043180024)
【CateGory Index】： U461.51
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